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Finding the Fourth Proportional to 1,688.95, 2,533.54 and 1,073.86

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Solution

The fourth proportional to 1,688.95, 2,533.54 and 1,073.86 is: 1,610.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.95 : 2,533.54 = 1,073.86 : x
  2. Step 2: Convert to fraction form
    1,688.95/2,533.54 = 1,073.86/x
  3. Step 3: Cross multiply
    1,688.95x = 2,533.54 × 1,073.86
  4. Step 4: Simplify right side
    1,688.95x = 2,720,667.26
  5. Step 5: Solve for x
    x = 2,720,667.26/1,688.95
  6. Step 6: Final answer
    x = 1,610.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.